Provide an appropriate response.Define a self-similar fractal.
A. can be created by finding the fractal dimension
B. has a fractal dimension between 0 and 1
C. has a fractal dimension greater than 2
D. looks similar to itself when examined at different scales
Answer: D
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If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the velocity vector.r(t) = (cot t)i + (csc t)j
A. v = (csc2 t)i + (cot t csc t)j B. v = (-sec2 t)i - (tan t sec t)j C. v = (sec2 t)i + (tan t sec t)j D. v = (-csc2 t)i - (cot t csc t)j
Provide an appropriate response.If f(x, y, z) = x2yz2 + xy2z + xy, then fx(1, 2, 3) =
A. 36. B. 55. C. 48. D. 50. E. none of the above
Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?
A. $180,000 B. $300,000 C. $270,000 D. $239,400
Write an algebraic expression for the quantities being compared.The first angle of a triangle is triple the third angle. The second angle of a triangle is 20 degrees less than the third angle.
A. first angle = x - 20 second angle = 3x third angle = x B. first angle = 3x second angle = x - 20 third angle = x C. first angle = 3x + 20 second angle = x - 20 third angle = x D. first angle = x second angle = x - 20 third angle = 3x